Question

Two bodies of equal masses are placed at heights $h$ and $2h$. Find the ratio of their gravitational potential energies.

• A. $3:2$
• B. $2:1$
• C. $1:2$
• D. $1:4$

Answer 1

The correct option is C $1:2$

$\text{Step 1: Potential Energy}$

Gravitational Potential energy is given by $PE=mgh$

Where, $h=$ height, $m=$ mass, $g=$ acceleration due to gravity

$\text{Step 2: Ratio of potential energy}$

Both the bodies have same mass.

Potential energy of bodies:

$\therefore$ $(PE{)}_1=mgh$ and $(PE{)}_2=mg(2h)$

$\Rightarrow$ $(PE{)}_1:(PE{)}_2=1:2$

Hence option $C$ is correct.